Během vychýlení oscilátoru do krajní polohy s výchylkou ym a silou o velikosti 0,05 kN byla vykonána práce 50 mJ. Jaká je velikost maximální výchylky oscilátoru ym, jestliže tento oscilátor od té doby kmitá harmonicky při frekvenci 5 Hz?
Správná odpověď je: B
Pro vychýlení oscilátoru do polohy maximální výchylky ym musela vychylující síla vykonat práci W = 50 mJ. Energie oscilátoru je v ideálním případě rovna práci, kterou vykonala síla vychylující oscilátor do krajní polohy. Velikost amplitudy ym je přímo úměrná vychylující síle. Při vynesení závislosti těchto dvou veličin do grafu odpovídá plocha pod křivkou práci, kterou bylo potřeba vykonat pro vychýlení oscilátoru do polohy odpovídající ym. Tato plocha má tvar pravoúhlého trojúhelníku a platí tak W = ½ · F · ym, tedy:
ym = (2 · W)/F = 0,1 J/50 N = 0,002 m = 0,2 cm.
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